The geometric means of x as a whole (geometricmean), its rows
(geometricmeanRow) or its columns (geometricmeanCol).
Arguments
x
a numeric vector or matrix of data
...
further arguments to compute the mean
Missing Policy
The the first three functions take the geometric mean of all non-missing values.
This is because they should yield a result in term of data analysis.
Contrarily, the gsi.* functions inherit the arithmetic IEEE policy of R through
exp(mean(log(c(unclass(x))),...)). Thus, NA codes a not available i.e.
not measured, NaN codes a below detection limit, and 0.0 codes a structural zero.
If any of the elements involved is 0, NA or NaN the result is of the same
type. Here 0 takes precedence over NA, and NA takes precedence
over NaN. For example, if a structural 0 appears, the geometric mean is 0
regardless of the presence of NaN's or NA's in the rest. Values below detection
limit become NaN's if they are coded as negative values.
The geometric mean is defined as:
$$geometricmean(x) := \left( \prod_{i=1}^n x_i\right)^{1/n}$$
The geometric mean is actually computed by
exp(mean(log(c(unclass(x))),...)).